In a multi-cylinder engine provided with a cylinder pausing function, a hydraulically-operated valve-pausing mechanism is capable of selectively suspending operation of at least one intake or exhaust valve of one or more selected cylinders, depending on engine operating conditions, such that the suspended valve is temporarily held in a closed state. A hydraulic-pressure control device, for controlling hydraulic pressure supplied to the valve-pausing mechanism, is disposed on an engine body so as to minimize an amount of protrusion of the hydraulic-pressure control device from the engine body, while situating the hydraulic-pressure control device near the valve-pausing mechanism. A recess portion is formed on an external surface of a cylinder head or a head cover, and the hydraulic-pressure control device is disposed on the engine such that at least part of the hydraulic-pressure control device is accommodated in the recess portion.